Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

A particle is executing SHM with time period π sec along a straight line. At t=0, it has started its motion from one of its extreme position. Then the minimum time after which its kinetic energy will be equal to its potential energy is

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

answer is 4.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Equation of SHM is  x=Acosωt At time t , potential energy,  U=12mω2x2=12mω2A2cos2ωtAnd kinetic energy, K=12mω2(A2−x2)=12mω2A2sin2ωtWhen K=U, 12mω2A2sin2ωt=12mω2A2cos2ωt ⇒tanωt=±1⇒ωt=π4,3π4,5π4,7π4,........etc∴tmin=π4ω=π4×2ππ=π8sec
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon
personalised 1:1 online tutoring